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In [[mathematical analysis]], '''constructive function theory''' is a field which studies the connection between the smoothness of a [[Function (mathematics)|function]] and its degree of [[approximation theory|approximation]][http://encyclopedia2.thefreedictionary.com/Constructive+Theory+of+Functions <sup>[1<nowiki>]</nowiki>]</sup>[http://eom.springer.de/c/c025430.htm <sup>[2<nowiki>]</nowiki>]</sup>. It is closely related to [[approximation theory]]. The term was coined by [[Sergei Bernstein]].
==Example==
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